Display Abstract

Title Soliton dynamics for the a fourth order nonlinear Schroedinger equation

Name Marco G Ghimenti
Country Italy
Email marco.ghimenti@dma.unipi.it
Co-Author(s) denis bonheure
Submit Time 2014-02-26 16:27:30
Session
Special Session 38: Recent trends in nonlinear Schrodinger systems
Contents
We study the soliton dynamics for a class of nonlinear Schrodinger equations with a biharmonic term singularly perturbed with a parameter epsilon. We prove that soliton solutions under the effect of an external potential exhibit in the semi-classical limit a particle-like behavior when epsilon is small. This problema arises in the context of nonlinear optics